An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives

AA Hyder, AH Soliman - … in Nonlinear Science and Numerical Simulation, 2021 - Elsevier
In this work, we utilize a new generalized derivative of conformable type to examine the
nonlinear evolution equations in a Wick-type stochastic environment. By a new auxiliary …

Solving Schrödinger–Hirota equation in a stochastic environment and utilizing generalized derivatives of the conformable type

AA Hyder, AH Soliman, C Cesarano, MA Barakat - Mathematics, 2021 - mdpi.com
This work is devoted to providing new kinds of deterministic and stochastic solutions of one
of the famous nonlinear equations that depends on time, called the Schrödinger–Hirota …

The influence of the differential conformable operators through modern exact solutions of the double Schrödinger-Boussinesq system

AA Hyder - Physica Scripta, 2021 - iopscience.iop.org
This paper discusses the influence of newly differential conformable operators (DCOs) on
the behavior of the nonlinear evolutionary systems through their exact solutions. For this …

New Analytical Solutions for Coupled Stochastic Korteweg–de Vries Equations via Generalized Derivatives

AA Hyder, MA Barakat, AH Soliman, AA Almoneef… - Symmetry, 2022 - mdpi.com
In this paper, the coupled nonlinear KdV (CNKdV) equations are solved in a stochastic
environment. Hermite transforms, generalized conformable derivative, and an algorithm that …

[HTML][HTML] The effect of dust on the propagation of a hydromagnetic solitary wave along the magnetic field in a cold collision-free plasma

Z Iqbal, JE Allen, F Causa, G Abbas… - Physics of …, 2024 - pubs.aip.org
The effect of dust is studied on the parallel propagation of a solitary hydromagnetic wave in
a magnetized, cold, collision-free plasma. The fully nonlinear analysis is based on the …

Propagation of periodic wave trains along the magnetic field in a collision-free plasma

G Abbas, PG Kevrekidis, JE Allen… - Journal of Physics A …, 2020 - iopscience.iop.org
In this work, a systematic study, examining the propagation of periodic and solitary waves
along the magnetic field in a cold collision-free plasma, is presented. Employing the quasi …

Study of hydromagnetic solitary waves in the Earth's inner magnetosphere via the Adlam-Allen model

SS Abbas, G Abbas, JE Allen, Z Iqbal… - Europhysics …, 2022 - iopscience.iop.org
Solitary hydromagnetic waves propagating perpendicular to the ambient magnetic field are
nonlinear structures that were first analysed by Adlam and Allen in 1958. Although they were …

Interactions of solitary waves in the Adlam-Allen model

BA Malomed, PG Kevrekidis, V Koukouloyannis… - Physical Review E, 2022 - APS
We study the interactions of two or more solitary waves in the Adlam-Allen model describing
the evolution of a (cold) plasma of positive and negative charges, in the presence of electric …